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A Continuous Transportation Network Design Problem with the Consideration of Road Congestion Charging

Author

Listed:
  • Ziyi Zhou

    (Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Jiangsu Key Laboratory of Urban ITS, School of Transportation, Southeast University, Nanjing 211189, China)

  • Min Yang

    (Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Jiangsu Key Laboratory of Urban ITS, School of Transportation, Southeast University, Nanjing 211189, China)

  • Fei Sun

    (Strategy and Investment Management Department, Changan Minsheng APLL Logistics Co., Ltd., Chongqing 401122, China)

  • Zheyuan Wang

    (Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Jiangsu Key Laboratory of Urban ITS, School of Transportation, Southeast University, Nanjing 211189, China)

  • Boqing Wang

    (Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Jiangsu Key Laboratory of Urban ITS, School of Transportation, Southeast University, Nanjing 211189, China)

Abstract

This paper proposes a biobjective continuous transportation network design problem concerning road congestion charging with the consideration of speed limit. The efficiency of the traffic network and the reduction of pollution in the network environment are improved by designing a reasonable road capacity enhancement and speed limit strategy. A biobjective bilevel programming model is developed to formulate the proposed network design problem. The first target of the upper problem is the optimization of road charging efficiency, and the other target is the total cost of vehicle emissions; these objectives are required to devise the optimal road capacity enhancement scheme, speed limiting schemes for different time periods, and the road pricing scheme. The lower-level problem involving travellers’ route choice behaviours uses stochastic user equilibrium (SUE) theory. Based on the nondominated sorting genetic algorithm, which is applied to solve the bilevel programming model, a numerical example is developed to illustrate the effectiveness of the proposed model and algorithm. The results show that the implementation of congestion charging measures on the congested road sections would help to alleviate road congestion in the transportation network, effectively save transportation infrastructure investment and limited urban land resources, increase fiscal revenue, and open up new sources of funds for urban infrastructure construction.

Suggested Citation

  • Ziyi Zhou & Min Yang & Fei Sun & Zheyuan Wang & Boqing Wang, 2021. "A Continuous Transportation Network Design Problem with the Consideration of Road Congestion Charging," Sustainability, MDPI, vol. 13(13), pages 1-16, June.
  • Handle: RePEc:gam:jsusta:v:13:y:2021:i:13:p:7008-:d:579608
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    References listed on IDEAS

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    1. Farahani, Reza Zanjirani & Miandoabchi, Elnaz & Szeto, W.Y. & Rashidi, Hannaneh, 2013. "A review of urban transportation network design problems," European Journal of Operational Research, Elsevier, vol. 229(2), pages 281-302.
    2. Abdulaal, Mustafa & LeBlanc, Larry J., 1979. "Continuous equilibrium network design models," Transportation Research Part B: Methodological, Elsevier, vol. 13(1), pages 19-32, March.
    3. Liu, Wei & Yin, Yafeng & Yang, Hai, 2015. "Effectiveness of variable speed limits considering commuters’ long-term response," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 498-519.
    4. Long, Jiancheng & Gao, Ziyou & Zhang, Haozhi & Szeto, W.Y., 2010. "A turning restriction design problem in urban road networks," European Journal of Operational Research, Elsevier, vol. 206(3), pages 569-578, November.
    5. Liu, Haoxiang & Wang, David Z.W., 2015. "Global optimization method for network design problem with stochastic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 20-39.
    6. Davis, Gary A., 1994. "Exact local solution of the continuous network design problem via stochastic user equilibrium assignment," Transportation Research Part B: Methodological, Elsevier, vol. 28(1), pages 61-75, February.
    7. Lave, Charles & Elias, Patrick, 1997. "Resource Allocation in Public Policy: The Effects of the 65-MPH Speed Limit," Economic Inquiry, Western Economic Association International, vol. 35(3), pages 614-620, July.
    8. Wang, David Z.W. & Lo, Hong K., 2010. "Global optimum of the linearized network design problem with equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 482-492, May.
    9. Li, Changmin & Yang, Hai & Zhu, Daoli & Meng, Qiang, 2012. "A global optimization method for continuous network design problems," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1144-1158.
    10. Yang, Hai & Wang, Xiaolei & Yin, Yafeng, 2012. "The impact of speed limits on traffic equilibrium and system performance in networks," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1295-1307.
    11. Xinyuan Chen & Yiran Wang & Yuan Zhang, 2021. "A Trial-and-Error Toll Design Method for Traffic Congestion Mitigation on Large River-Crossing Channels in a Megacity," Sustainability, MDPI, vol. 13(5), pages 1-13, March.
    12. Yang, Hai & Bell, Michael G. H., 2001. "Transport bilevel programming problems: recent methodological advances," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 1-4, January.
    13. Sang Nguyen & Clermont Dupuis, 1984. "An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs," Transportation Science, INFORMS, vol. 18(2), pages 185-202, May.
    14. Lo, Hong K. & Szeto, W. Y., 2002. "A cell-based variational inequality formulation of the dynamic user optimal assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 421-443, June.
    15. Gallo, Mariano & D'Acierno, Luca & Montella, Bruno, 2010. "A meta-heuristic approach for solving the Urban Network Design Problem," European Journal of Operational Research, Elsevier, vol. 201(1), pages 144-157, February.
    16. Meng, Q. & Yang, H. & Bell, M. G. H., 2001. "An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 83-105, January.
    17. Ozgur Baskan, 2013. "Determining Optimal Link Capacity Expansions in Road Networks Using Cuckoo Search Algorithm with Lévy Flights," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, September.
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